In InternetExplorer 7 the dialogs don't close on saving. Instead it redirects the dialog to a white page displaying "Move the selected component/paragraph above this one". One can close this dialog and manually refresh the page and see the change however.

Adding a node data jsExecutedAfterSaving with value opener.document.location.reload();window.opener=self;window.close(); to a random dialog seems to fix this problem for IE7 and this specific dialog. Tested this with IE8 as well, but it behaves normally and closes the dialogs on its own without the extra JS.

The js error message for IE7 not closing is:
Line: 55
Char: 5
Error: Class doesn't support Automation
Code: 0